Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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statement reason 1 ce = fg given 2 cd = dg given 3 de = fd reason? vali…
Subtraction property of equality
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an isosceles triangle with angles measuring 50°, 50°, and 80° undergoes…
Translation: Yes Rotation: Yes Reflection: Yes
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ac bisects ∠bad reason: given ∠bac≅∠dac reason: select reason ab≅ad rea…
For $\angle BAC\cong\angle DAC$: Definition of angle - bisector; For $\overline{AB}\cong\overline{AD}$: Given (if provided as such); For $\overline{AC}\cong\overline{AC}$: Reflexi…
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e is the mid - point of $overline{ac}$ reason: given $overline{ae}congo…
- For \(\overline{AE}\cong\overline{EC}\), Reason: Definition of mid - point. - For \(\overline{BE}\cong\overline{ED}\), Reason: Given. - For \(\angle BEA\cong\angle CED\), Reason…
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8 mark for review for a certain rectangle, the ratio of the width to th…
194
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what is this? line line segment ray
line segment
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se muestran cuatro polígonos regulares inscritos en círculos congruente…
C. A medida que aumenta el número de lados del polígono, el área del polígono se acerca al área del círculo
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find the missing angle measure.
\(50^{\circ}\)
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the following figure is a rectangle made up of two smaller rectangles. …
The light rectangle (on the left): 7 The dark rectangle (on the right): 28 As a sum of two areas: 35 As a product of the length and width: 35
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define convex polygon. a two - dimensional shape with straight edges an…
D. A two - dimensional shape with straight edges and all interior angles less than 180 degrees
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which of the following is the best description for the shape outlined i…
A. Concave decagon
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which of the following is the best description for the shape outlined i…
No answer can be provided as the relevant shape is not clearly visible in the given image.
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what is the sum of the interior angles of a dodecagon? 1,440° 1,800° 1,…
B. $1,800^{\circ}$
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what expression could be used to calculate one interior angle of a 13 -…
A. $\frac{(13 - 2)180}{13}$
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fill in the blank. a dodecagon is... sometimes a regular polygon. alway…
A. sometimes a regular polygon.
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solve for x. 8x + 2 70° 60° your answer
$x = 6$
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define concave polygon. a two - dimensional shape with straight edges n…
C. A two - dimensional shape with straight edges and one or more interior angles greater than 180 degrees
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7. find the center of the circle with endpoints (6, - 8) and (4, - 4) a…
7. C. \((5,-6)\) 8. A. Yes, it is a function. 9. B. \(12x + 6h\) 10. D. \(y=-5x-22\) 11. C. \(5\)
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the sum of the interior angles of a hendecagon is greater than... two o…
C. the sum of the interior angles of a nonagon.
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if two angles are not complements, then the sum of the angles is not 90…
$\sim p ightarrow\sim q$
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what expression could be used to calculate the sum of the interior angl…
A. $(14 - 2)180$
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what is the measure of one interior angle of a regular octagon? 135° ≈ …
A. $135^{\circ}$
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what are the equations of lines m and q? the equation of line m is (use…
The equation of line m is $y=\frac{5}{3}x-\frac{8}{3}$, the equation of line q is $y =-\frac{3}{5}x+\frac{36}{5}$
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what is the measure of one interior angle of a regular 26 - gon? ≈166.2…
A. $\approx 166.2^{\circ}$
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what is the sum of the interior angles of a 30 - gon? 4,860° 4,680° 5,0…
B. $4,680^{\circ}$
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what expression could be used to calculate the sum of the interior angl…
B. $(13 - 2)180$
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what is the sum of the interior angles of an octagon? 1,260° 1,080° 900…
B. $1,080^{\circ}$
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question 3 of 10 the formula for the volume of a sphere is v = ⅓πr³, wh…
A. 4.5 inches
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what is the measure of one exterior angle of a hexagon? 360° 60° not en…
B. $60^{\circ}$
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jumpstart name:____ date:____ n ∠1 = ____° e ∠2 = ____° r ∠3 = ____° o …
$\angle1 = 145^{\circ}$ $\angle2 = 80^{\circ}$ $\angle3 = 145^{\circ}$ $\angle4 = 100^{\circ}$ $\angle5 = 35^{\circ}$ $\angle6 = 35^{\circ}$
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(4: civil liberties) government censorship that stops speech before it …
1. B. Prior restraint 2. B. Lemon test
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knowledge functions, domain, range 1. complete the table below. 10 | im…
| Image | Functions or Not a Function | Domain | Range | | ---- | ---- | ---- | ---- | | Second example (mapping diagram) | Function | $\{0,1,2,3\}$ | $\{2,4,9\}$ | | Third exampl…
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se está diseñando un silo para almacenar granos. cuando esté terminado,…
1728 pies cúbicos
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in the 20th century, america was racing against the soviet union to pro…
A. start of
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lesson 12 practice problems 1. a. show that the two pentagons are congr…
a. The two pentagons are congruent because their corresponding sides and angles are equal (by visual inspection and matching of parts). b. Side - lengths of \(ABCDE\): \(AB = 2.8\…
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assume that the resources best suited to producing a particular service…
The PPF should be graphed using blue points (circle symbol) as a downward - sloping curve representing the trade - off between lawns mowed and cars washed. Points A, B, C, and D s…
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12 (a) part a: the area of rectangle 2 can be found using the expressio…
(A) B. $40\sqrt{15}$ (B) C. $10\sqrt{3z}$
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right triangles lmn and pqr are similar, where l and m correspond to p …
B. 53°
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right triangles lmn and pqr are similar, where l and m correspond to p …
B. $53^{\circ}$
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tell whether each point is in the interior, exterior or on the angle. 7…
7. On the angle 8. Exterior 9. Interior 10. On the angle 11. Interior 12. Exterior 13. True 14. False 15. False
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what contributed to the 146 deaths caused by the triangle shirtwaist fa…
D. Unsafe working conditions, including locked doors
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given the image, which of these gives enough information to use one of …
D. $m\angle3 = 26^{\circ}$ and $m\angle1=76^{\circ}$
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en el plano de coordenadas que se muestra, △jkl tiene los vértices j(-2…
5
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given the image, which of these gives enough information to use one of …
m∠1 = 108°
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given the image, which of these gives enough information to use one of …
All of the options ($m\angle3 = 130^{\circ}$, $m\angle5 = 130^{\circ}$, $m\angle4 = 50^{\circ}$) can be used to prove $b\parallel n$.
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given the image, which of these gives enough information to use one of …
m∠8 = 72°
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given the image, which of these gives enough information to use one of …
$m\angle7 = 115^{\circ}$
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given the image, which of these gives enough information to use one of …
D. $m\angle2 = 112^{\circ}$
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given the image, which of these gives enough information to use one of …
D. $m\angle8 = 59^{\circ}$
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7) solve for w: p = 2l + 2w (perimeter of a rectangle)
$W=\frac{P - 2L}{2}$
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given the image, is there enough information to prove that p || r? m∠3 …
No, this is not enough information.
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given the image, which of these gives enough information to use one of …
B. $m\angle6 = 29^{\circ}$ and $m\angle10 = 45^{\circ}$
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a clock shows 10:10. what is the smaller angle between the hands (°)? 1…
115°
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angles name each angle in four ways. then identify its vertex and its s…
1. Four - way naming: $\angle1$, $\angle CXA$, $\angle AXC$, $\angle X$; Vertex: $X$; Sides: Rays $\overrightarrow{XC}$ and $\overrightarrow{XA}$ 2. Four - way naming: $\angle MOR…
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6) solve for r: c = 2πr (circumference of a circle)
\(r = \frac{C}{2\pi}\)
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given the image, which of these gives enough information to use one of …
\(m\angle6 = 112^{\circ}\)
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angles name each angle in four ways. then identify its vertex and its s…
13. True 14. False 15. True
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you start facing east. you turn left, then right, then left again. whic…
North
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6) 12 + 74 7) - 3+5 8) - 113 + 115 9) | - 45| 10) 86 - (-4) 11) | - 5| …
6) 86 7) 2 8) 2 9) 45 10) 90 11) 1 12) - 15 13) - 48
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you start facing north. you turn left, then right, then left again. whi…
C. West
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for problems 8 - 12: fill in the missing boxes using the provided infor…
| Equation | Vertex $(h,k)$ | Focus | Directrix | Axis of Symmetry | Graph Sketch (description) | |---|---|---|---|---|---| | $y=\frac{1}{-12}(x - 3)^2+7$ | $(3,7)$ | $(3,4)$ | $y…
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circle t or f, to answer true or false. 1) t / f: a positive number tim…
1. F. A positive number times a negative number equals a negative number. 2. T. A positive number divided by a positive number equals a positive number. 3. F. Absolute value makes…
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solve the problem & show work. circle your final answer - be careful of…
18) - 5 19) 49 20) 50 21) 3 22) - 9 23) 80 24) - 80 25) 96
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15 multiple choice which of the following could represent the side leng…
12, 22, 14; 19, 11, 17
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6. graph $overline{vw}$ with endpoints $v(-6, -4)$ and $w(-3, 1)$ and i…
For problem 6: The endpoints of the image are $V_2(-9,-7)$ and $W_2(-6,-2)$. For problem 7: The single - translation is $(x,y)\to(x + 1,y+2)$.
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copy the diagram and sketch the line. 25. line through m and parallel t…
Para resolver estos problemas se deben hacer las siguientes construcciones geométricas en el diagrama dado: 25. Trazar una línea a través de M que sea paralela a $\overrightarrow{…
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copy and complete the statement with sometimes, always, or never. 21. i…
21. never 22. never 23. sometimes 24. sometimes
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se sujeta un árbol en peligro de caerse mediante dos sogas paralelas de…
Parte A: $\frac{8}{\sin(48^{\circ})}\approx10.8$ Parte B: B. 10.8
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number 3: classify the relationship between each pair of angles as alte…
a. Consecutive interior b. Corresponding c. Alternate interior d. Alternate exterior e. Corresponding
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una empresa necesita crear un recipiente cilíndrico que tenga un volume…
C. $\sqrt{\frac{725}{15\pi}}$
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think of each segment in the diagram as part of a line. complete the st…
# Explicación: ## Paso 1: Definir relaciones entre líneas y planos Recuerda que líneas paralelas no se intersectan y están en el mismo plano, líneas perpendiculares forman ángulos…
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part iii - geometric and scientific applications 6. a rectangle has a p…
$L=\frac{52}{3}\text{ cm}$, $W=\frac{20}{3}\text{ cm}$ ### 7.
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for 3 - 8, use the figures below. 2. what are the coordinates of each p…
a. Use $(x,y)\to(-y,x)$ for each vertex of $RSTU$. b. Use $(x,y)\to(x + 2,y - 5)$ for each vertex of $MNPQ$. c. Use $(x,y)\to(x,-y)$ first and then $(x,-y)\to(x - 3,-y)$ for each …
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what type of triangle is △abc? what type of triangle is △efg? select al…
D. △ABC scalene; △EFG scalene
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which of figures below are congruent?
No, No
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in the diagram below of triangle $qrs$, $t$ is the mid - point of $over…
20
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in the diagram below of triangle ijk, l is the mid - point of ik and m …
$25$
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in the diagram below of triangle $abc$, $d$ is the mid - point of $over…
$73^{\circ}$
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rotations clockwise about the origin rotations of 90° rotations of 180°…
Rotations clockwise about the origin: Rotations of 90°: \((x,y)\to(y, - x)\) Rotations of 180°: \((x,y)\to(-x,-y)\) Rotations of 270°: \((x,y)\to(-y,x)\) Rotations counter - clock…
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in the diagram below of triangle $jkl$, $m$ is the midpoint of $overlin…
10
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in $delta tuv$, $mangle t = 105^{circ}$ and $mangle u = 11^{circ}$. whi…
VT > TU > UV
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analyzing intersections of lines and planes. use the given diagram to a…
- ¿Cuál es la línea que es la intersección de dos de los planos mostrados? \(u\) - ¿Cuál es la línea que intersecta uno de los planos mostrados? \(v\) - ¿Cuál es la línea que tien…
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in $\triangle def$, $ef = 13$, $fd = 2$, and $de = 14$. which statement…
\(m\angle F > m\angle D > m\angle E\)
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in a geometry class, students are asked to describe the dimensions of a…
Sally states that a plane has two dimensions because it is made up of an infinite number of lines.
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which of the following sets of numbers could not represent the three si…
{10, 23, 33}
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plane x contains point c. plane y contains points a and b. how many pla…
# Explicación: ## Paso 1: Recordar el postulado de los tres puntos no - colineales Tres puntos no - colineales determinan un único plano. ## Paso 2: Analizar los puntos A, B y C L…
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box 1 in the front view is the same as what letter on the isometric vie…
C
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box 9 in the top view is the same as what letter on the isometric view?
A
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points w, k, and are collinear. line ca and line yk intersected at. poi…
- Puntos W, K y Y son colineales. - La línea CA y la línea YK se intersectan en A. - El punto P no está contenido en la línea m.
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understanding geometric statements which is a mathematical statement co…
D. teorema
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which of the following sets of numbers could represent the three sides …
{6, 19, 22}
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which diagram represents the postulate that states exactly one line exi…
El tercer diagrama (el que tiene una línea recta que conecta puntos A y B) es el que representa el postulado, ya que muestra exactamente una línea entre dos puntos dados.
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10. the area of the floor of a square play pen is 6 square meters. what…
C. 10
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practice describing and identifying undefined terms. which undefined ge…
B. line
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4. determine the slope of the line below.
$-\frac{3}{8}$
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write the equation of this line in slope - intercept form. write your a…
$y=\frac{1}{4}x - 6$
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7. given that △uvt is the mid - segment △, tell which of the following …
None of the above (not given in options, but based on analysis)
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6. given that △uvt is the mid - segment △, tell which of the following …
- A. $2(TU)=PN$ - B. $MN\parallel UV$ - D. $UT\parallel VN$
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5. given that segment de is a midsegment of δabc, find the following. a…
AD = 6.5, DE = 5
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in the picture, line a is parallel to line b. m∠4 = 9x - 5 and m∠5 = 4x…
$x = 4.2$